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211411121121 = 3426315716317
BaseRepresentation
bin1100010011100100010…
…1011011001111100001
3202012200121022200220000
43010321011123033201
511430432221333441
6241042042010213
721162651610464
oct3047105331741
9665617280800
10211411121121
1181728080412
1234b811a6969
1316c22480055
14a33780d2db
1557751722b6
hex313915b3e1

211411121121 has 40 divisors (see below), whose sum is σ = 317264485824. Its totient is φ = 140293265760.

The previous prime is 211411121107. The next prime is 211411121137. The reversal of 211411121121 is 121121114112.

211411121121 is a `hidden beast` number, since 2 + 11 + 411 + 121 + 121 = 666.

211411121121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211411121121 - 27 = 211411120993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211411121094 and 211411121103.

It is not an unprimeable number, because it can be changed into a prime (211411121821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33463855 + ... + 33470171.

Almost surely, 2211411121121 is an apocalyptic number.

It is an amenable number.

211411121121 is a deficient number, since it is larger than the sum of its proper divisors (105853364703).

211411121121 is a wasteful number, since it uses less digits than its factorization.

211411121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8163 (or 8154 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

Adding to 211411121121 its reverse (121121114112), we get a palindrome (332532235233).

The spelling of 211411121121 in words is "two hundred eleven billion, four hundred eleven million, one hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 27 81 263 789 1571 2367 4713 6317 7101 14139 18951 21303 42417 56853 127251 170559 413173 511677 1239519 1661371 3718557 4984113 9924007 11155671 14952339 29772021 33467013 44857017 89316063 134571051 267948189 803844567 2610013841 7830041523 23490124569 70470373707 211411121121